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The many faces of convergence in mathematics...



Well, I've been doing a little research on the internet exploring the definitions (yes; plural) of mathematical convergence, as it refers to infinite sums or products in a series.
 
Apparently, there are a million different ways to define this property and even more ways of applying it, in which case it behaves differently too. In fact, these different definitions even become contradictory with one another!
 
It's confusing as hell! Sheesh! This is why I dislike mathematical logic!
 
In any case, I will honor Jamie's request not to take this discussion further until he can participate, given that he's the most interested in it so far.
 
Cheers,
Judith